ublic colleges. Data are in thousands of dollars. rivate Colleges 51.8 42.2 44.0 32.3 44.0 29.6 44.8 36.8 50.5 43.0 Public Col Tin 2 20.3 New 22.8 te the sample mean (in thousand dollars) and sample standa mean thousand standard deviation

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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You may need to use the appropriate appendix table or technology to answer this question.
The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Time.com). The following random samples show the annual cost of attending
private and public colleges. Data are in thousands of dollars
Private Colleges
51.8 42.2 44.0 32.3 44.0
29.6 44.8 36.8 50.5 43.0
Public Colleges
20.3 22.0 28.2 15.6 24.1 28.5
22.8 25.8 18.5 25.6 144 21.0
(a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges. (Round the standard deviation to two decimal places)
sample mean
thousand
sample standard deviations
thousand
Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges. (Round the standard deviation to two decimal places.)
sample mean
thousand
thousand
sample standard deviation
(b) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private - Public)
thousand
Interpret this value in terms of the annual cost (in dollars) of attending private and public colleges
We estimate that the mean annual cost to attend private colleges is s
thousand
more than the mean annual cost to attend public college
(c) Develop a 95% confidence interval (in thousand dollars) of the difference between the mean annual cost of attending private and public colleges. (Use Private - Public Round your answers to
one decimal place.)
thousand to $
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Time.com). The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars Private Colleges 51.8 42.2 44.0 32.3 44.0 29.6 44.8 36.8 50.5 43.0 Public Colleges 20.3 22.0 28.2 15.6 24.1 28.5 22.8 25.8 18.5 25.6 144 21.0 (a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges. (Round the standard deviation to two decimal places) sample mean thousand sample standard deviations thousand Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges. (Round the standard deviation to two decimal places.) sample mean thousand thousand sample standard deviation (b) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private - Public) thousand Interpret this value in terms of the annual cost (in dollars) of attending private and public colleges We estimate that the mean annual cost to attend private colleges is s thousand more than the mean annual cost to attend public college (c) Develop a 95% confidence interval (in thousand dollars) of the difference between the mean annual cost of attending private and public colleges. (Use Private - Public Round your answers to one decimal place.) thousand to $
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